Vanishing beta function for Grosse-Wulkenhaar model in a magnetic field

Abstract

We prove that the beta function of the Grosse-Wulkenhaar model including a magnetic field vanishes at all order of perturbations. We compute the renormalization group flow of the relevant dynamic parameters and find a non-Gaussian infrared fixed point. Some consequences of these results are discussed.

14 pages, 5 figures

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